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Finding the Fourth Proportional to 14,410.96, 19,887.24 and 8,123.44

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Solution

The fourth proportional to 14,410.96, 19,887.24 and 8,123.44 is: 11,210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.96 : 19,887.24 = 8,123.44 : x
  2. Step 2: Convert to fraction form
    14,410.96/19,887.24 = 8,123.44/x
  3. Step 3: Cross multiply
    14,410.96x = 19,887.24 × 8,123.44
  4. Step 4: Simplify right side
    14,410.96x = 161,552,800.91
  5. Step 5: Solve for x
    x = 161,552,800.91/14,410.96
  6. Step 6: Final answer
    x = 11,210.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.